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Investment Properties and Properties Held for Sale - Additional Information (Detail) (USD $)
12 Months Ended 3 Months Ended
Dec. 31, 2014
Tenants
State
Property
Dec. 31, 2013
Dec. 31, 2012
Sep. 30, 2012
Long Lived Assets Held-for-sale [Line Items]        
Property leased to fully constructed fast-food restaurants 11us-gaap_NumberOfRealEstateProperties      
Location of properties 4us-gaap_NumberOfStatesInWhichEntityOperates      
Number of tenants 11zzdd_NumberOfTenantsOccupiedLeasedProperty      
Partnership recognized income from discontinued operations $ 208,411us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax $ 43,147us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax $ 153,513us-gaap_DiscontinuedOperationIncomeLossFromDiscontinuedOperationBeforeIncomeTax  
Property impairment adjustments 0us-gaap_ImpairmentOfRealEstate 0us-gaap_ImpairmentOfRealEstate (142,747)us-gaap_ImpairmentOfRealEstate  
Wendy's Restaurants [Member]        
Long Lived Assets Held-for-sale [Line Items]        
Property leased to fully constructed fast-food restaurants 9us-gaap_NumberOfRealEstateProperties
/ us-gaap_LongLivedAssetsHeldForSaleByAssetTypeAxis
= zzdd_RestaurantBMember
     
Applebee's Restaurant [Member]        
Long Lived Assets Held-for-sale [Line Items]        
Property leased to fully constructed fast-food restaurants 1us-gaap_NumberOfRealEstateProperties
/ us-gaap_LongLivedAssetsHeldForSaleByAssetTypeAxis
= zzdd_RestaurantCMember
     
KFC Restaurant [Member]        
Long Lived Assets Held-for-sale [Line Items]        
Property leased to fully constructed fast-food restaurants 1us-gaap_NumberOfRealEstateProperties
/ us-gaap_LongLivedAssetsHeldForSaleByAssetTypeAxis
= zzdd_RestaurantDMember
     
Formerly owned, Vacant Phoenix, AZ Property [Member]        
Long Lived Assets Held-for-sale [Line Items]        
Property impairment adjustments       $ 142,747us-gaap_ImpairmentOfRealEstate
/ us-gaap_LongLivedAssetsHeldForSaleByAssetTypeAxis
= zzdd_VacantPhoenixAzPropertyMember